Shifting Functions

Identify the transformation from the graph of f(x)=x² to the graph g(x)= x² - 5

• shifted up five units

• shifted down five units

• shifted left five units

• shifted right five units

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7

• x³-7

• (x-7)³

• (x+7)³

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2

• x³ - 2

• (x + 2)³

• (x - 2)³

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

• Right 2 down 5

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

• Shifted up 5 units
  Shifted right 3 units
  Stretched vertically by a factor of 3

• Shifted up 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3

• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3

• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 1/3

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4

• x³- 4

• (x - 4)³

• (x + 4)³

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3

• x³ - 3

• (x + 3)³

• (x - 3)³

The blue is f(x)=|x|, red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2